The Turks have more experience with Syria when it comes to talks than France. Turkey has been angry with Israel for some time and vice versa. The majority of Turks are Muslims, and Turkey used to be the leader of the Muslim world and if it completely pulls away from Turkey then there might be pressure for Arab states to take a tougher stance with Israel. Israel doesn't have so many friends in the world because of what's being done to Palestinians, and it doesn't want to lose Turkey. If Israel keeps on repressing the Palestinians, it's inevitable, I think. And Europeans might lose patience with Israel as well. Israel is in large favor because America likes it.
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from the article: Lieberman: After all the insults, Turkey can't mediate Syria talks